Relativistic quantum field in theoretical physics

Abstract

Quantum field theory is the most well-developed tool in theoretical physics to study about the dynamics at microscopic scales, with particles and quantum behaviors. In this thesis I'll review about the construction of quantum field theory from the S-matrix point of view (building up particles and formulating interactions), then poke at interesting topics that are usually briefly mentioned or even ignored in standard quantum theory of field textbooks. In more details, chapter 1 will be about how a quanta is defined from the analysis of group theory, chapter 2 will be focus on how the language of field to describe the quantum behaviors of quanta is desirable for interactions and arised quite naturally (it should be noted that, string theory can be viewed as a totally different theory in quantum interactions, with conformal symmetric and topological natures, but at low energy scale it can always be reduced back to quantum field theories), and chapter 3 will be about several angles of quantum field theory.